Use the quadratic formula to solve [tex]x^2 + 7x + 8 = 0[/tex]. Estimate irrational solutions to the nearest tenth.

x 2 + 7 x + 8 = 0 a = 1 , b = 7 , c = 8 x 1 ​ = 2 a − b − b 2 − 4 a c ​ ​ = 2 ⋅ 1 − 7 − 7 2 − 4 ⋅ 1 ⋅ 8 ​ ​ = 2 − 7 − 49 − 32 ​ ​ = 2 − 7 − 17 ​ ​ x 2 ​ = 2 a − b + b 2 − 4 a c ​ ​ = 2 ⋅ 1 − 7 + 7 2 − 4 ⋅ 1 ⋅ 8 ​ ​ = 2 − 7 + 49 − 32 ​ ​ = 2 − 7 + 17 ​ ​

Answered by Lilith | 2024-06-10

Answered by gabrieldavidmilGabe | 2024-06-12

To solve the quadratic equation x 2 + 7 x + 8 = 0 using the quadratic formula, the solutions are approximately x 1 ​ ≈ − 5.6 and x 2 ​ ≈ − 1.4 . This was completed through the formula, identifying coefficients, and calculating the discriminant and values. Both solutions are irrational numbers rounded to the nearest tenth.
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Answered by Lilith | 2024-12-23